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Finding the Fourth Proportional to 523.03, 721.57 and 313.21

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Solution

The fourth proportional to 523.03, 721.57 and 313.21 is: 432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.03 : 721.57 = 313.21 : x
  2. Step 2: Convert to fraction form
    523.03/721.57 = 313.21/x
  3. Step 3: Cross multiply
    523.03x = 721.57 × 313.21
  4. Step 4: Simplify right side
    523.03x = 226,002.94
  5. Step 5: Solve for x
    x = 226,002.94/523.03
  6. Step 6: Final answer
    x = 432.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.